Greatest Common Factor of 5750/11, 5498/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5750/11, 5498/285

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5750/11,5498/285

Given fractions are 5750/11,5498/285

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5750,5498

Greatest Common Factor of Numerators i.e. GCF of 5750,5498 is 2 .

LCM of Denominators means LCM of 11,285 as per the given fractions.

LCM of 11,285 is 3135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5750,5498

GCF of Fractions 5750/11,5498/285 is 2/3135

2 5750, 5498
2875, 2749

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5750,5498 By Matching Biggest Common Factor Method

Greatest Common Factor of 5750,5498 By Matching Biggest Common Factor Method

Factors of 5750

List of positive integer factors of 5750 that divides 5750 without a remainder.

1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750

Factors of 5498

List of positive integer factors of 5498 that divides 5498 without a remainder.

1,2,2749,5498

Greatest Common Factor

We found the factors 5750,5498 . The biggest common factor number is the GCF number.
So the greatest common factor 5750,5498 is 2.

Lets's calculate LCM of 11,285

Given numbers has no common factors except 1. So, there LCM is their product i.e 3135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3135

Therefore, the GCF of Fractions 5750/11,5498/285 is 2/3135

Least Common Multiple of 11,285 with GCF Formula

Least Common Multiple of 11,285 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 11,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,285) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(11,285) x common factors =1 x 1 = 1

LCM(11,285) = ( 11 × 285 ) / 1

LCM(11,285) = 3135 / 1

LCM(11,285) = 3135


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5750/11, 5498/285

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5750/11, 5498/285?

Answer: GCF of Numerators as per given numbers 5750/11, 5498/285 is

GCF of Numerators i.e. for 5750,5498 is 2

LCM of denominators i.e. for 11,285 is 3135.

Thus, GCF of Fractions is 2/3135.Finally, GCF of Fractions for 5750/11, 5498/285 is 2/3135.